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Finding the Fourth Proportional to 755,317.36, 1,042,338 and 415,783

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Solution

The fourth proportional to 755,317.36, 1,042,338 and 415,783 is: 573,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,317.36 : 1,042,338 = 415,783 : x
  2. Step 2: Convert to fraction form
    755,317.36/1,042,338 = 415,783/x
  3. Step 3: Cross multiply
    755,317.36x = 1,042,338 × 415,783
  4. Step 4: Simplify right side
    755,317.36x = 433,386,420,654
  5. Step 5: Solve for x
    x = 433,386,420,654/755,317.36
  6. Step 6: Final answer
    x = 573,780.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.